Burnley stretched their unbeaten Premier League run to four games after playing to a goalless home draw against West Brom on Saturday.
The Clarets, though, will feel that they should have won the match, with the visitors reduced to 10 men for an hour.
West Brom's Semi Ajayi was sent off on the half-hour mark, with his handball having denied the hosts a goalscoring opportunity.
Despite enjoying plenty of possession, however, Burnley created very little in attack, mustering just one shot on target all match.